Can you lose weight without eating vegetables? Of course, but can you be healthy, and for how long?
I was reading some of the cancer research not too long ago, and there have been many studies suggesting that fruit and vegetable consumption (quantity and variety) is correlated with the lowest rates of cancer, heart disease and other illnesses, and with better outcomes for those diseases. And more studies that fruits and vegetables are not interchangeable, especially if you don't know what you're missing and how to compensate.
A good basic nutrition class at a community college, or at least a good basic nutrition book will really help. You will learn what nutrients are in different foods, what the results of too few or too many of those nutrients have on the body, and how and if you can compensate for nutritients you aren't getting in your foods.
It's more common for weight loss to be a much bigger concern than malnutrition, and long term health, but your weight loss will mean nothing if you lose your health because of poor nutrition. A lot of the results of poor nutrition take years to develop, and the effects can be difficult to appreciate until it's too late.
I remember a statistic in one of my college texts that the incidence of manutrition is actually higher in overweight people than normal weight people. Some of this may be due to dieting and some to eating an inbalanced diet.
Food preferences can change, or can be worked around. If you have fewer than 10 vegetables that you will eat (especially if they're not each a different color) you may want to consider grinding veggies and adding to smoothies, meatloaf, spaghetti sauce.... The why won't make sense to you, though until you learn more about nutrition, and realize why it's important to get a wide variety of nutrients, and how and where you can get them.



ha! kills me everytime!
That's hilarious....but yer tryin. We can't ask for more than that.